• When you use StatKey, include all relevant output and clearly identify your final answer by writing a sentence (e.g., "The 95% confidence interval is [XX, XX]").
• Round all answers to 3 decimal places unless otherwise specified.

1.In a random sample of 20 voters, 12 said they were planning to vote for Candidate A and 8 said they were not planning to vote for Candidate A.Use StatKey to construct a 95% bootstrap confidence interval using the percentile method to estimate the proportion of all registered voters in the population who are planning to vote for Candidate A. You can enter the sample data into StatKey using the "Edit Data" button. Remember to take at least 5,000 resamples. Don't forget to include a screenshot from StatKey and to clearly identify your answer.

2.Interpret the meaning of the confidence interval constructed in question 1 by completing the phrase below. "I am 95% confident......

3.Given your confidence interval in question 1, is there evidence that the proportion of all registered voters in the population who are planning to vote for Candidate A is different from 0.50 (i.e., half)?Explain why or why not.

4.What if the sample size were 10 times bigger? Find the confidence interval if we had a sample where 120 out of 200 participants were planning to vote for Candidate A. Use StatKey to construct a 95% confidence interval using thepercentile methodwith these new data (x=120, n=200). Take at least 5,000 resamples. Don't forget to upload a screenshot from StatKey and to clearly identify your answer.

5.When the sample size was increased, how did the standard error and width of the confidence interval change?

"When the sample size increased, the standard error...

"When the sample size increased, the width of the confidence interval...

6.Using the dataset with 120 out of 200 participants planning to vote for Candidate A, construct a 90% confidence interval in StatKey using thepercentile method. Take at least 5,000 resamples. Don't forget to include a screenshot from StatKey and to clearly identify your answer.

7.When the confidence level was changed from 95% to 90%, how did the standard error and width of the confidence interval change?

"When the confidence level decreased, the standard error...

"When the confidence level decreased, the width of the confidence interval...